English

Mixed integral moments of the Hecke $L$-functions and Riemann zeta function

Number Theory 2026-02-10 v2

Abstract

In this paper, let ff be a Hecke cusp form for SL(2,Z)SL(2,\mathbb{Z}). We establish an asymptotic formula for the mixed moment of ζ2(s)\zeta^{2}(s) and L(s,f)L(s,f) on the critical line, valid for both holomorphic and Maass forms.

Keywords

Cite

@article{arxiv.2601.19177,
  title  = {Mixed integral moments of the Hecke $L$-functions and Riemann zeta function},
  author = {Zhaoyan Chen},
  journal= {arXiv preprint arXiv:2601.19177},
  year   = {2026}
}